We report on the results of an adsorption isotherm study of multilayer Kr f
ilms adsorbed on BN. Measurements were conducted on a computer-controlled a
dsorption apparatus at 22 temperatures in the vicinity of the bulk-triple p
oint of Kr. The data are compared with those available for Kr on graphite.
The phase diagrams for both systems are topologically identical in the regi
on between two and five layers, The layer critical temperatures for the sec
ond and third layers are essentially identical for Kr on both substrates; t
he high-temperature solidification transition of the second layer, on the o
ther hand, is shifted on BN relative to where it occurs on graphite. The im
plications of our results for the current understanding of re-entrant layer
ing are discussed. [S0163-1829(99)01747-6].